Question: Construct a truth table for the given statement. Identify whether the statement is a tautology. left parenthesis tilde q right arrow tilde p right parenthesis

Construct a truth table for the given statement. Identify whether the statement is a tautology.

left parenthesis tilde q right arrow tilde p right parenthesis right arrow left parenthesis p logical and q right parenthesis

(~q~p)(pq)

Construct a truth table.

p

q

left parenthesis tilde q right arrow tilde p right parenthesis right arrow left parenthesis p logical and q right parenthesis

(~q~p)(pq)

T

T

T

T

F

T

F

T

F

F

F

F

Is the statement atautology?

A.

The statement is not atautology, since there is at least one combination of truth values for its components where the statement is false.

B.

The statement is atautology, since it is true for all combinations of truth values of the components.

C.

The statement is not atautology, since it is false for all combinations of truth values of the components.

D.

The statement is atautology, since there is at least one combination of truth values for its components where the statement is true.

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